Jove
Visualize
Contact Us
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Related Concept Videos

Feedback control systems01:26

Feedback control systems

725
Feedback control systems are categorized in various ways based on their design, analysis, and signal types.
Linear feedback systems are theoretical models that simplify analysis and design. These systems operate under the principle that their output is directly proportional to their input within certain ranges. For instance, an amplifier in a control system behaves linearly as long as the input signal remains within a specific range. However, most physical systems exhibit inherent nonlinearity...
725
Linear time-invariant Systems01:23

Linear time-invariant Systems

934
A system is linear if it displays the characteristics of homogeneity and additivity, together termed the superposition property. This principle is fundamental in all linear systems. Linear time-invariant (LTI) systems include systems with linear elements and constant parameters.
The input-output behavior of an LTI system can be fully defined by its response to an impulsive excitation at its input. Once this impulse response is known, the system's reaction to any other input can be...
934
BIBO stability of continuous and discrete -time systems01:24

BIBO stability of continuous and discrete -time systems

943
System stability is a fundamental concept in signal processing, often assessed using convolution. For a system to be considered bounded-input bounded-output (BIBO) stable, any bounded input signal must produce a bounded output signal. A bounded input signal is one where the modulus does not exceed a certain constant at any point in time.
To determine the BIBO stability, the convolution integral is utilized when a bounded continuous-time input is applied to a Linear Time-Invariant (LTI) system....
943
Discrete-time Fourier transform01:26

Discrete-time Fourier transform

1.1K
The Discrete-Time Fourier Transform (DTFT) is an essential mathematical tool for analyzing discrete-time signals, converting them from the time domain to the frequency domain. This transformation allows for examining the frequency components of discrete signals, providing insights into their spectral characteristics. In the DTFT, the continuous integral used in the continuous-time Fourier transform is replaced by a summation to accommodate the discrete nature of the signal.
One of the notable...
1.1K
Basic Discrete Time Signals01:16

Basic Discrete Time Signals

732
The unit step sequence is defined as 1 for zero and positive values of the integer n. This sequence can be graphically displayed using a set of eight sample points, showing a step function starting from n=0 and remaining constant thereafter.
The unit impulse or sample sequence is mathematically expressed as zero for all n values except at n=0, where it is one. The unit impulse sequence, denoted by δ(n), is the first difference of the unit step sequence, while the unit step sequence u(n) is the...
732
Discrete-Time Fourier Series01:20

Discrete-Time Fourier Series

714
The Discrete-Time Fourier Series (DTFS) is a fundamental concept in signal processing, serving as the discrete-time counterpart to the continuous-time Fourier series. It allows for the representation and analysis of discrete-time periodic signals in terms of their frequency components. Unlike its continuous counterpart, which utilizes integrals, the calculation of DTFS expansion coefficients involves summations due to the discrete nature of the signal.
For a discrete-time periodic signal x[n]...
714

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by
Same author

Ultrasonography-guided single-port transaxillary endoscopic excision for breast fibroadenoma: a retrospective comparative study of technical feasibility and early outcomes.

BMC surgery·2026
Same author

Characterization of multi-stage metabolic alterations in hepatitis B virus-related acute-on-chronic liver failure using high-coverage metabolomics.

Metabolomics : Official journal of the Metabolomic Society·2026
Same author

Masculinity under pressure: How gender norms shape men's mental health help-seeking in the post-pandemic era.

Social science & medicine (1982)·2026
Same author

Observation of high-order quantum Pancharatnam-Berry phase with structured photons.

Fundamental research·2026
Same author

Online Pairwise Comparisons Survey on Disability Weight for Chronic Cadmium Poisoning - Shenyang City, Liaoning Province, China, June-August 2022.

China CDC weekly·2026
Same author

Effect of Solution Treatment Temperature on Microstructural Evolution and Mechanical Properties of GH4698 Superalloy.

Materials (Basel, Switzerland)·2026
Same journal

A New Human-Likeness and Comfort Index for Robot Movements Along Prescribed Paths.

IEEE transactions on cybernetics·2026
Same journal

Robust Semiglobal and Global Stabilization for Nonlinear Normal Form Systems by Time-Varying Feedback.

IEEE transactions on cybernetics·2026
Same journal

Adaptive Global Asymptotic Output Stabilization of Uncertain Nonlinear Systems Under Dynamic State/Input Quantization.

IEEE transactions on cybernetics·2026
Same journal

Accelerated Distributed Gradient Tracking for Constrained Aggregative Optimization Over Time-Varying Digraphs.

IEEE transactions on cybernetics·2026
Same journal

Small-Gain-Based Plug-and-Play Distributed Control Framework for DC Microgrids With Decentralized Reconfiguration.

IEEE transactions on cybernetics·2026
Same journal

Prescribed-Time Impulsive Control of High-Order Integrator Systems.

IEEE transactions on cybernetics·2026
See all related articles

Related Experiment Video

Updated: Feb 7, 2026

Control of Eating Behavior Using a Novel Feedback System
04:48

Control of Eating Behavior Using a Novel Feedback System

Published on: May 8, 2018

11.6K

H∞ Consensus for Linear Heterogeneous Discrete-Time Multiagent Systems With Output Feedback Control.

Huaguang Zhang, Ji Han, Yingchun Wang

    IEEE Transactions on Cybernetics
    |July 14, 2018
    PubMed
    Summary
    This summary is machine-generated.

    This study presents a new method for solving H∞ consensus problems in discrete-time multiagent systems (MASs). The approach transforms complex inequalities into solvable conditions, enabling effective control system design.

    More Related Videos

    Experimental Investigation of the Hierarchical Control in DC Microgrids Using a Real-time Simulator
    06:04

    Experimental Investigation of the Hierarchical Control in DC Microgrids Using a Real-time Simulator

    Published on: February 14, 2025

    1.1K
    Force and Position Control in Humans - The Role of Augmented Feedback
    06:31

    Force and Position Control in Humans - The Role of Augmented Feedback

    Published on: June 19, 2016

    8.2K

    Related Experiment Videos

    Last Updated: Feb 7, 2026

    Control of Eating Behavior Using a Novel Feedback System
    04:48

    Control of Eating Behavior Using a Novel Feedback System

    Published on: May 8, 2018

    11.6K
    Experimental Investigation of the Hierarchical Control in DC Microgrids Using a Real-time Simulator
    06:04

    Experimental Investigation of the Hierarchical Control in DC Microgrids Using a Real-time Simulator

    Published on: February 14, 2025

    1.1K
    Force and Position Control in Humans - The Role of Augmented Feedback
    06:31

    Force and Position Control in Humans - The Role of Augmented Feedback

    Published on: June 19, 2016

    8.2K

    Area of Science:

    • Control Systems Engineering
    • Networked Systems
    • Applied Mathematics

    Background:

    • Multiagent systems (MASs) are crucial in distributed control.
    • Achieving consensus (agreement) in MASs is a fundamental challenge.
    • H∞ control aims to minimize the impact of disturbances in dynamic systems.

    Purpose of the Study:

    • To address the H∞ consensus problem for linear heterogeneous discrete-time MASs.
    • To develop a novel method for solving specific nonlinear matrix inequalities.
    • To provide necessary and sufficient conditions for H∞ control with constrained controllers.

    Main Methods:

    • Transformation of nonlinear matrix inequalities into solvable conditions using the LMI toolbox.
    • Development of an iterative algorithm for H∞ consensus.
    • Application of results to general linear systems with constrained controllers.

    Main Results:

    • A novel method for solving specific nonlinear matrix inequalities is proposed.
    • Necessary and sufficient conditions for H∞ consensus in discrete-time MASs are derived.
    • A method for achieving H∞ control in general linear systems with constrained controllers is presented.

    Conclusions:

    • The proposed method effectively solves the H∞ consensus problem for linear heterogeneous discrete-time MASs.
    • The developed iterative algorithm and conditions are validated through numerical examples.
    • The findings contribute to the advancement of robust control strategies for MASs.